Questions: Which complexity class represents algorithms that run in constant time, regardless of input size? O(log n) O(n log n) O(1) O(n)

Which complexity class represents algorithms that run in constant time, regardless of input size? O(log n) O(n log n) O(1) O(n)
Transcript text: Which complexity class represents algorithms that run in constant time, regardless of input size? $O(\log n)$ $O(n \log n)$ $\mathrm{O}(1)$ $O(n)$
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Solution

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Solution Steps

The question asks which complexity class represents algorithms that run in constant time, regardless of input size. The complexity class that describes constant time is \( O(1) \).

Step 1: Understanding Complexity Classes

Complexity classes describe the performance of an algorithm in terms of time or space as a function of the input size \( n \). Common complexity classes include:

  • \( O(\log n) \): Logarithmic time complexity
  • \( O(n \log n) \): Linearithmic time complexity
  • \( O(1) \): Constant time complexity
  • \( O(n) \): Linear time complexity
Step 2: Identifying Constant Time Complexity

An algorithm with constant time complexity, denoted as \( O(1) \), executes in the same amount of time regardless of the size of the input. This means that the execution time does not change with \( n \).

Final Answer

\(\boxed{\mathrm{O}(1)}\)

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